Embeddings of anisotropic Sobolev spaces on unbounded domains (Q1093139)

Integral representations of functions in the anisotropic Sobolev spaces \(\overset\circ W^{k,p}(\Omega)\) on unbounded domains \(\Omega\) are used in the study of the embeddings of these spaces into Lebesgue spaces. Estimates of entropy numbers of the embedding \(\overset\circ W^{k,p}(\Omega{)} L^ q(\Omega)\) are obtained, where k, p and q satisfy certain conditions and where \(\Omega\) is a certain type of quasibounded domain.